Name
Title | ||
|---|---|---|
The use of He's variational iteration method for obtaining the free vibration of an Euler-Bernoulli beam |
Abstract | ||
|---|---|---|
This paper presents a way of using He's variational iteration method to solve free vibration problems for an Euler-Bernoulli beam under various supporting conditions. By employing this technique, the beam's natural frequencies and mode shapes can be obtained and a rapidly convergent sequence is obtained during the solution. The results obtained are the same as the results obtained by the Adomian decomposition method. It is verified that the present method is accurate and it provides a simple and efficient approach for solving vibration problems for uniform Euler-Bernoulli beams. A robust and efficient algorithm is also programmed using Matlab based on the present method, which can be easily used to solve Euler Bernoulli beam problems. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.mcm.2009.09.005 | Mathematical and Computer Modelling |
Keywords | Field | DocType |
efficient approach,euler bernoulli beam problem,present method,free vibration problem,vibration problem,mode shape,efficient algorithm,adomian decomposition method,he’s variational iteration method,free vibration,natural frequency,variational iteration method,uniform euler-bernoulli beam,euler-bernoulli beam,euler–bernoulli beam | Mathematical optimization,MATLAB,Mathematical analysis,Euler's formula,Decomposition method (constraint satisfaction),Adomian decomposition method,Beam (structure),Normal mode,Vibration,Mathematics,Bernoulli's principle | Journal |
Volume | Issue | ISSN |
50 | 11-12 | Mathematical and Computer Modelling |
Citations | PageRank | References |
2 | 0.41 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yucheng Liu | 1 | 116 | 26.77 |
| Chandra S. Gurram | 2 | 7 | 1.10 |